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Finding the Fourth Proportional to 649.56, 897.37 and 426.03

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Solution

The fourth proportional to 649.56, 897.37 and 426.03 is: 588.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.56 : 897.37 = 426.03 : x
  2. Step 2: Convert to fraction form
    649.56/897.37 = 426.03/x
  3. Step 3: Cross multiply
    649.56x = 897.37 × 426.03
  4. Step 4: Simplify right side
    649.56x = 382,306.54
  5. Step 5: Solve for x
    x = 382,306.54/649.56
  6. Step 6: Final answer
    x = 588.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.